1-11
(a) x 1 + x 2 = X 1 + e 1 + X 2 + e 2
error = e = ( x 1 + x 2 ) − ( X 1 + X 2 )
= e 1 + e 2 Ans.
(b) x 1 − x 2 = X 1 + e 1 − ( X 2 + e 2 )
e = ( x 1 − x 2 ) − ( X 1 − X 2 ) = e 1 − e 2 Ans.
(c) x 1 x 2 = ( X 1 + e 1 )( X 2 + e 2 )
e = x 1 x 2 − X 1 X 2 = X 1 e 2 + X 2 e 1 + e 1 e 2
e 1
= . X 1 e 2 + X 2 e 1 = X 1 X 2
Ans.
X 1 + e 2
X 2
1 + e 1 / X 1
(d) x 1
X 2 + e 2 = X 1
x 2 = X 1 + e 1
1 + e 2 / X 2
= . 1 + e 1
− 1
= . 1 − e 2
1 + e 1
1 + e 2
X 2 and
X 1 1 − e 2
X 1 − e 2
= . X 1
e = x 1
x 2 − X 1
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